Chapter 4 - Matrices



4-1 Organizing Data into Matrices
  • Know the dimensions of a matrix
  • Identify a specific matrix element
  • Organize data into matrices

4-2 Adding and Subtracting Matrices
  • Add and subtract matrices
  • Use and find identity and inverse matrices
  • Solve matrix equations
  • Determine matrix equivalence
  • Find unknown matrix elements

Introduction to matrices: What a matrix is. How to add and subtract them.



4-3 Matrix Multiplication
  • Multiply by a scalar
  • Multiply matrices
  • Solve matrix equations involving multipliation

Matrix multiplication (part 1): Multiplying two 2x2 matrices.

Matrix multiplication (part 2): More on multiplying matrices.



4-5 2x2 Matrices, Determinants and Inverses
  • Find the determinant of a 2x2 matrix
  • Find the inverse of a 2x2 matrix
  • Know how to use the identity matrix

Inverse of a 2x2 matrix: Example of calculating the inverse of a 2x2 matrix




Homework

  • p166: 1-12
  • p174: 3, 5, 9, 11, 13, 17, 29, 31
  • p182: 5, 7, 9, 10, 20-29, 42-49, 50, 55
  • p199: 11-21 odd, 22-45